| Title:
|
Totally contact umbilical screen-slant and screen-transversal lightlike submanifolds of indefinite Kenmotsu manifold (English) |
| Author:
|
Karmakar, Payel |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
149 |
| Issue:
|
4 |
| Year:
|
2024 |
| Pages:
|
603-613 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We study totally contact umbilical screen-slant lightlike submanifolds and totally contact umbilical screen-transversal lightlike submanifolds of an indefinite Kenmotsu manifold. We prove a characterization theorem of totally contact umbilical screen-slant lightlike submanifolds of an indefinite Kenmotsu manifold. We further prove some results on a totally contact umbilical radical screen-transversal lightlike submanifold of an indefinite Kenmotsu manifold, such as the necessary and sufficient conditions for the screen distribution $S(TM)$ to be integrable and for the induced connection $\nabla $ to be a metric connection. (English) |
| Keyword:
|
indefinite Kenmotsu manifold |
| Keyword:
|
lightlike submanifold |
| Keyword:
|
totally contact umbilical screen-slant lightlike submanifold |
| Keyword:
|
totally contact umbilical radical screen-transversal lightlike submanifold |
| MSC:
|
53C15 |
| MSC:
|
53C20 |
| MSC:
|
53C25 |
| MSC:
|
53C40 |
| MSC:
|
53C50 |
| DOI:
|
10.21136/MB.2024.0095-23 |
| . |
| Date available:
|
2024-12-13T19:08:11Z |
| Last updated:
|
2024-12-13 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/152682 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
|
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| Reference:
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| Reference:
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
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| . |
